Finding the Third Proportional to 35,692.50 and 76,866

Step by Step Solution

1. Step 1: Write the proportion equation
   35,692.50 : 76,866 = 76,866 : x
2. Step 2: Convert to fraction form
   35,692.50/76,866 = 76,866/x
3. Step 3: Cross multiply
   35,692.50x = 76,866 × 76,866
4. Step 4: Simplify right side
   35,692.50x = 5,908,381,956
5. Step 5: Solve for x
   x = 5,908,381,956/35,692.50
6. Step 6: Final answer
   x = 165,535.67